Finding the Third Proportional to 31,690.69 and 48,715.31

Step by Step Solution

1. Step 1: Write the proportion equation
   31,690.69 : 48,715.31 = 48,715.31 : x
2. Step 2: Convert to fraction form
   31,690.69/48,715.31 = 48,715.31/x
3. Step 3: Cross multiply
   31,690.69x = 48,715.31 × 48,715.31
4. Step 4: Simplify right side
   31,690.69x = 2,373,181,671.97
5. Step 5: Solve for x
   x = 2,373,181,671.97/31,690.69
6. Step 6: Final answer
   x = 74,885.77